scholarly journals Non-minimality of the width-$w$ non-adjacent form in conjunction with trace one $\tau $-adic digit expansions and Koblitz curves in characteristic two

2017 ◽  
Vol 87 (310) ◽  
pp. 821-854
Author(s):  
Daniel Krenn ◽  
Volker Ziegler
2007 ◽  
Vol 259 (1) ◽  
pp. 197-216 ◽  
Author(s):  
Yen-Mei J. Chen ◽  
Jing Yu

2011 ◽  
Vol 11 (2) ◽  
pp. 221-271 ◽  
Author(s):  
Alain Genestier ◽  
Sergey Lysenko

AbstractLet k be an algebraically closed field of characteristic two. Let R be the ring of Witt vectors of length two over k. We construct a group stack Ĝ over k, the metaplectic extension of the Greenberg realization of $\operatorname{\mathbb{S}p}_{2n}(R)$. We also construct a geometric analogue of the Weil representation of Ĝ, this is a triangulated category on which Ĝ acts by functors. This triangulated category and the action are geometric in a suitable sense.


2018 ◽  
Vol 17 (12) ◽  
pp. 1850240 ◽  
Author(s):  
A.-H. Nokhodkar

A totally singular quadratic form is associated to any central simple algebra with orthogonal involution in characteristic two. It is shown that the given involution is isotropic if and only if its corresponding quadratic form is isotropic.


1998 ◽  
Vol 42 ◽  
pp. 131-142 ◽  
Author(s):  
J. Cherly ◽  
L. Gallardo ◽  
L. Vaserstein ◽  
E. Wheland

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